Never use IDs
They are useless. You get no performance benefit from using IDs, and you confuse yourself by adding more specificity rules that you have to think about (IDs bind harder than classes). There is no situation where you use an ID that you could not instead use a class. Only use IDs in mark-up to show sections in the document - for # hashtags. Never use them for CSS.
Always make rules as generic as possible
You never know when a rule might need to be re-used, on a different element, so you should avoid ever limiting a class to a specific tag name. So div.header is wrong. Just do .header. Also using really specific rules makes it more likely that your CSS is going to get really confusing.
Use class with semantics in mind
From the W3C:
Good names don’t change. Think about why you want something to look a certain way, and not really about how it should look. Looks can always change, but the reasons for giving something a look stay the same.
You might have to break this rule if using CSS frameworks. I’ll leave that one up to you.